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kkurt [141]
3 years ago
8

Simplify the expression.

Mathematics
2 answers:
Greeley [361]3 years ago
5 0

Answer:

The answer is (b) cscx

Step-by-step explanation:

∵ secx = 1/cosx

∵ tanx = sinx/cosx

∴ secx/tanx = 1/cosx ÷ sinx/cosx

                   = 1/cosx × cosx/sinx

                   = cscx

Alina [70]3 years ago
5 0

Answer:

Choice b is the answer.

Step-by-step explanation:

We have given an expression.

\frac{secx}{tanx}

We have to simplify given expression.

Since, we know that

secx is reciprocal of cosx.

secx=\frac{1}{cosx}

tanx is ratio of sinx to cosx.

tanx=\frac{sinx}{cosx}

Putting above formulas in given expression ,we have

\frac{1}{cosx} ÷ \frac{sinx}{cosx}

\frac{1}{cosx} × \frac{cosx}{sinx}

\frac{1}{sinx}

Hence, cscx is reciprocal of sinx.

\frac{secx}{tanx} = cscx

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substitute 0 for x in the equation.

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hodyreva [135]

Answer:

a= 5    and   b=1

Step-by-step explanation:

To solve, we will follow the steps below:

2x + 3y = 7

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\frac{a_{1} }{a_{2} }   =  \frac{b_{1} }{b_{2} }  = \frac{c_{1} }{c_{2} }

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cross-multiply

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open the bracket

3a - 3b = 2a + 2b

collect like term

3a - 2a = 2b + 3b

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take all the variables to the left-hand side of the equation

7a - 9a+ 7b-3b =   -6

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divide both-side of the equation by 4

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substitute b= 1 in equation (1)

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a =5(1)

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Therefore,   a= 5    and   b=1

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Step-by-step explanation:

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Vika [28.1K]

Answer:

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